Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3 L / min and from B into A at a rate of 1 L / min (see Figure ( 1 ) ). The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg / L of salt flows into tank A at a rate of 6 L / min .The (diluted) solution flows out of the system from tank A at 4 L / min and from tank B at 2 L / min .If, initially, tank A contains pure water and tank B contains 20 kg of salt, determine the mass of salt in each tank at time t ≥ 0 . Figure ( 1 ) Mixing problem for interconnected tanks
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3 L / min and from B into A at a rate of 1 L / min (see Figure ( 1 ) ). The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg / L of salt flows into tank A at a rate of 6 L / min .The (diluted) solution flows out of the system from tank A at 4 L / min and from tank B at 2 L / min .If, initially, tank A contains pure water and tank B contains 20 kg of salt, determine the mass of salt in each tank at time t ≥ 0 . Figure ( 1 ) Mixing problem for interconnected tanks
Two large tanks, each holding
100
L
of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of
3
L
/
min
and from B into A at a rate of
1
L
/
min
(see Figure
(
1
)
). The liquid inside each tank is kept well stirred. A brine solution with a concentration of
0.2
kg
/
L
of salt flows into tank A at a rate of
6
L
/
min
.The (diluted) solution flows out of the system from tank A at
4
L
/
min
and from tank B at
2
L
/
min
.If, initially, tank A contains pure water and tank B contains
20
kg
of salt, determine the mass of salt in each tank at time
t
≥
0
.
Figure
(
1
)
Mixing problem for interconnected tanks
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